Question

1. The angles of a triangle are in the ratio 1:3:5. Find the measure of each angles.
2. The angles of a triangle are in the ratio 2:3:4. Determine the three angles.​

Answer 1

Step-by-step explanation:

1. let the angles of a triangle be x, 3x, 5x

sum of angles of triangle = 180°

x+3x+5x=180°

9x=180°

x=180°/9

x=20°

So, the angles are 20°, 60° and 100°

2. let the angles of a triangle be 2x, 3x, 4x

sum of angles of triangle = 180°

2x+3x+4x=180°

9x=180°

x=180°/9

x=20°

So, the angles are 20°, 60° and 100°

Answer 2

Step-by-step explanation:

1) let us consider the common multiple as x

x + 3x + 5x = 180°

9x = 180°

x = 180/9

x = 20°

1st angle = x = 20°

2nd angle = 3x = 3 * 20 = 60°

3rd angle = 5x = 5 * 20 = 100°

2) let us consider the common multiple as x

2x + 3x + 4x = 180°

9x = 180°

x = 180/9

x = 20°

1st angle = 2x = 2 * 20 = 40°

2nd angle = 3x = 3 * 20 = 60°

3rd angle = 4x = 4 * 20 = 80°

Hope this will help you